Daily Practice

Higher

4th August 1971

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Speed and Density2 marks
A block has volume 140 cm^3 and density 3 g/cm^3. Work out its mass.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 27 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
27 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Cumulative Frequency2 marks
Four classes in order have frequencies 12, 8, 3, 11. Write down the cumulative frequency at the end of the third class.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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